85921488 has 60 divisors (see below), whose sum is σ = 241920900. Its totient is φ = 28466688.

The previous prime is 85921453. The next prime is 85921513. The reversal of 85921488 is 88412958.

It is a happy number.

85921488 is a `hidden beast` number, since 85 + 92 + 1 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33039504 + 52881984 = 5748^2 + 7272^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23188 + ... + 26636.

It is an arithmetic number, because the mean of its divisors is an integer number (4032015).

Almost surely, 2^85921488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85921488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960450).

85921488 is an abundant number, since it is smaller than the sum of its proper divisors (155999412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85921488 is a wasteful number, since it uses less digits than its factorization.

85921488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3627 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 85921488 is about 9269.3844455821. The cubic root of 85921488 is about 441.2661327285.

The spelling of 85921488 in words is "eighty-five million, nine hundred twenty-one thousand, four hundred eighty-eight".